Acable 20 feet long connects the top of a flagpole to a point on the ground that is 16 feet from the base of the pole. how tall is the flagpole? (a) 8 ft.(b) 10 ft.(c) 16 ft. (d) 26 ft.

The height of the flagpole is: 12 ft.

Let the height of the flagpole be: x ft.

Now, we can model this problem with the help of a right angled triangle such that the hypotenuse of the triangle is: 20 feet

and one of the leg of the right triangle is: 16 feet

Now, in order to find the other leg i.e. x we need to use the Pythagorean Theorem.

i.e.

But the height can't be negative.

Hence, we get:

351.23

step-by-step explanation:

3 3 6, because in every triangle the longer side is always shorter than the sum of the other two